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126,960

126,960 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

126,960 (one hundred twenty-six thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5 × 23². Its proper divisors sum to 284,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EFF0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
69,621
Recamán's sequence
a(499,447) = 126,960
Square (n²)
16,118,841,600
Cube (n³)
2,046,448,129,536,000
Divisor count
60
σ(n) — sum of divisors
411,432
φ(n) — Euler's totient
32,384
Sum of prime factors
62

Primality

Prime factorization: 2 4 × 3 × 5 × 23 2

Nearest primes: 126,949 (−11) · 126,961 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 40 · 46 · 48 · 60 · 69 · 80 · 92 · 115 · 120 · 138 · 184 · 230 · 240 · 276 · 345 · 368 · 460 · 529 · 552 · 690 · 920 · 1058 · 1104 · 1380 · 1587 · 1840 · 2116 · 2645 · 2760 · 3174 · 4232 · 5290 · 5520 · 6348 · 7935 · 8464 · 10580 · 12696 · 15870 · 21160 · 25392 · 31740 · 42320 · 63480 (half) · 126960
Aliquot sum (sum of proper divisors): 284,472
Factor pairs (a × b = 126,960)
1 × 126960
2 × 63480
3 × 42320
4 × 31740
5 × 25392
6 × 21160
8 × 15870
10 × 12696
12 × 10580
15 × 8464
16 × 7935
20 × 6348
23 × 5520
24 × 5290
30 × 4232
40 × 3174
46 × 2760
48 × 2645
60 × 2116
69 × 1840
80 × 1587
92 × 1380
115 × 1104
120 × 1058
138 × 920
184 × 690
230 × 552
240 × 529
276 × 460
345 × 368
First multiples
126,960 · 253,920 (double) · 380,880 · 507,840 · 634,800 · 761,760 · 888,720 · 1,015,680 · 1,142,640 · 1,269,600

Sums & aliquot sequence

As consecutive integers: 42,319 + 42,320 + 42,321 25,390 + 25,391 + 25,392 + 25,393 + 25,394 8,457 + 8,458 + … + 8,471 5,509 + 5,510 + … + 5,531
Aliquot sequence: 126,960 284,472 514,128 814,160 1,078,948 954,552 1,510,728 2,466,072 5,536,728 9,843,672 16,061,928 24,092,952 45,580,008 68,370,072 102,555,168 167,238,048 271,762,080 — unresolved within range

Continued fraction of √n

√126,960 = [356; (3, 5, 1, 1, 3, 1, 15, 2, 2, 2, 15, 1, 3, 1, 1, 5, 3, 712)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand nine hundred sixty
Ordinal
126960th
Binary
11110111111110000
Octal
367760
Hexadecimal
0x1EFF0
Base64
Ae/w
One's complement
4,294,840,335 (32-bit)
Scientific notation
1.2696 × 10⁵
As a duration
126,960 s = 1 day, 11 hours, 16 minutes
In other bases
ternary (3) 20110011020
quaternary (4) 132333300
quinary (5) 13030320
senary (6) 2415440
septenary (7) 1036101
nonary (9) 213136
undecimal (11) 87429
duodecimal (12) 61580
tridecimal (13) 45a32
tetradecimal (14) 343a8
pentadecimal (15) 27940

As an angle

126,960° = 352 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκϛϡξʹ
Mayan (base 20)
𝋯·𝋱·𝋨·𝋠
Chinese
一十二萬六千九百六十
Chinese (financial)
壹拾貳萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٢٦٩٦٠ Devanagari १२६९६० Bengali ১২৬৯৬০ Tamil ௧௨௬௯௬௦ Thai ๑๒๖๙๖๐ Tibetan ༡༢༦༩༦༠ Khmer ១២៦៩៦០ Lao ໑໒໖໙໖໐ Burmese ၁၂၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126960, here are decompositions:

  • 11 + 126949 = 126960
  • 17 + 126943 = 126960
  • 37 + 126923 = 126960
  • 47 + 126913 = 126960
  • 101 + 126859 = 126960
  • 103 + 126857 = 126960
  • 109 + 126851 = 126960
  • 137 + 126823 = 126960

Showing the first eight; more decompositions exist.

Hex color
#01EFF0
RGB(1, 239, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.239.240.

Address
0.1.239.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.239.240

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 126,960 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.